A boundary integral equation method for Navier-Stokes equations—application to flow in annulus of eccentric cylinders
✍ Scribed by P. S. Ramesh; M. H. Lean
- Publisher
- John Wiley and Sons
- Year
- 1991
- Tongue
- English
- Weight
- 801 KB
- Volume
- 13
- Category
- Article
- ISSN
- 0271-2091
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✦ Synopsis
A novel Navier-Stokes solver based on the boundary integral equation method is presented. The solver can be used to obtain flow solutions in arbitrary 2D geometries with modest computational effort. The vorticity transport equation is modelled as a modified Helmholtz equation with the wave number dependent on the flow Reynolds number. The non-linear inertial terms partly manifest themselves as volume vorticity sources which are computed iteratively by tracking flow trajectories. The integral equation representations of the Helmholtz equation for vorticity and Poisson equation for streamfunction are solved directly for the unknown vorticity boundary conditions. Rapid computation of the flow and vorticity field in the volume at each iteration level is achieved by precomputing the influence coefficient matrices. The pressure field can be extracted from the converged streamfunction and vorticity fields. The solver is validated by considering flow in a converging channel (Hamel flow). The solver is then applied to flow in the annulus of eccentric cylinders.
Results are presented for various Reynolds numbers and compared with the literature.